12830767971940800
12,830,767,971,940,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 12830767971940800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 672 divisors.
12830767971940800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 12830767971940800:
26 × 33 × 52 × 7 × 127 × 334092821
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 127 × 334092821)See below for interesting mathematical facts about the number 12830767971940800 from the Numbermatics database.
Names of 12830767971940800
- Cardinal: 12830767971940800 can be written as Twelve quadrillion, eight hundred thirty trillion, seven hundred sixty-seven billion, nine hundred seventy-one million, nine hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.28307679719408 × 1016
Factors of 12830767971940800
Divisors of 12830767971940800
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 126 127 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 252 254 270 280 288 300 315 320 336 350 360 378 381 400 420 432 448 450 480 504 508 525 540 560 576 600 630 635 672 675 700 720 756 762 800 840 864 889 900 945 960 1008 1016 1050 1080 1120 1143 1200 1260 1270 1344 1350 1400 1440 1512 1524 1575 1600 1680 1728 1778 1800 1890 1905 2016 2032 2100 2160 2240 2286 2400 2520 2540 2667 2700 2800 2880 3024 3048 3150 3175 3360 3429 3556 3600 3780 3810 4032 4064 4200 4320 4445 4572 4725 4800 5040 5080 5334 5400 5600 5715 6048 6096 6300 6350 6720 6858 7112 7200 7560 7620 8001 8128 8400 8640 8890 9144 9450 9525 10080 10160 10668 10800 11200 11430 12096 12192 12600 12700 13335 13716 14224 14400 15120 15240 16002 16800 17145 17780 18288 18900 19050 20160 20320 21336 21600 22225 22860 24003 24384 25200 25400 26670 27432 28448 28575 30240 30480 32004 33600 34290 35560 36576 37800 38100 40005 40640 42672 43200 44450 45720 48006 50400 50800 53340 54864 56896 57150 60480 60960 64008 66675 68580 71120 73152 75600 76200 80010 85344 85725 88900 91440 96012 100800 101600 106680 109728 114300 120015 121920 128016 133350 137160 142240 151200 152400 160020 170688 171450 177800 182880 192024 200025 203200 213360 219456 228600 240030 256032 266700 274320 284480 302400 304800 320040 342900 355600 365760 384048 400050 426720 457200 480060 512064 533400 548640 600075 609600 640080 685800 711200 768096 800100 853440 914400 960120 1066800 1097280 1200150 1280160 1371600 1422400 1536192 1600200 1828800 1920240 2133600 2400300 2560320 2743200 3200400 3840480 4267200 4800600 5486400 6400800 7680960 9601200 12801600 19202400 38404800 334092821 668185642 1002278463 1336371284 1670464105 2004556926 2338649747 2672742568 3006835389 3340928210 4009113852 4677299494 5011392315 5345485136 6013670778 6681856420 7015949241 8018227704 8352320525 9020506167 9354598988 10022784630 10690970272 11693248735 12027341556 13363712840 14031898482 15034176945 16036455408 16704641050 18041012334 18709197976 20045569260 21047847723 21381940544 23386497470 24054683112 25056961575 26727425680 28063796964 30068353890 32072910816 33409282100 35079746205 36082024668 37418395952 40091138520 42095695446 42429788267 45102530835 46772994940 48109366224 50113923150 53454851360 56127593928 58466243675 60136707780 63143543169 64145821632 66818564200 70159492410 72164049336 74836791904 75170884725 80182277040 84191390892 84859576534 90205061670 93545989880 96218732448 100227846300 105239238615 106909702720 112255187856 116932487350 120273415560 126287086338 127289364801 133637128400 140318984820 144328098672 149673583808 150341769450 160364554080 168382781784 169719153068 175398731025 180410123340 187091979760 192437464896 200455692600 210478477230 212148941335 224510375712 225512654175 233864974700 240546831120 252574172676 254578729602 267274256800 280637969640 288656197344 297008517869 300683538900 315717715845 320729108160 336765563568 339438306136 350797462050 360820246680 374183959520 381868094403 400911385200 420956954460 424297882670 449020751424 451025308350 467729949400 481093662240 505148345352 509157459204 526196193075 534548513600 561275939280 577312394688 594017035738 601367077800 631435431690 636446824005 673531127136 678876612272 701594924100 721640493360 748367919040 763736188806 801822770400 841913908920 848595765340 891025553607 902050616700 935459898800 962187324480 1010296690704 1018314918408 1052392386150 1060744706675 1122551878560 1145604283209 1188034071476 1202734155600 1262870863380 1272893648010 1347062254272 1357753224544 1403189848200 1443280986720 1485042589345 1527472377612 1578588579225 1603645540800 1683827817840 1697191530680 1782051107214 1804101233400 1870919797600 1909340472015 2020593381408 2036629836816 2104784772300 2121489413350 2245103757120 2291208566418 2376068142952 2405468311200 2525741726760 2545787296020 2673076660821 2715506449088 2806379696400 2886561973440 2970085178690 3054944755224 3157177158450 3182234120025 3367655635680 3394383061360 3564102214428 3608202466800 3741839595200 3818680944030 4041186762816 4073259673632 4209569544600 4242978826700 4455127768035 4582417132836 4752136285904 4810936622400 5051483453520 5091574592040 5346153321642 5612759392800 5728021416045 5940170357380 6109889510448 6314354316900 6364468240050 6735311271360 6788766122720 7128204428856 7216404933600 7425212946725 7637361888060 8019229982463 8146519347264 8419139089200 8485957653400 8910255536070 9164834265672 9504272571808 9546702360075 10102966907040 10183149184080 10692306643284 11225518785600 11456042832090 11880340714760 12219779020896 12628708633800 12728936480100 13365383304105 13577532245440 14256408857712 14432809867200 14850425893450 15274723776120 16038459964926 16838278178400 16971915306800 17820511072140 18329668531344 19008545143616 19093404720150 20205933814080 20366298368160 21384613286568 22275638840175 22912085664180 23760681429520 24439558041792 25257417267600 25457872960200 26730766608210 28512817715424 28640107080225 29700851786900 30549447552240 32076919929852 33676556356800 33943830613600 35641022144280 36659337062688 38186809440300 40096149912315 40732596736320 42769226573136 44551277680350 45824171328360 47521362859040 50514834535200 50915745920400 53461533216420 57025635430848 57280214160450 59401703573800 61098895104480 64153839859704 66826916520525 67887661227200 71282044288560 73318674125376 76373618880600 80192299824630 85538453146272 89102555360700 91648342656720 95042725718080 101029669070400 101831491840800 106923066432840 114560428320900 118803407147600 122197790208960 128307679719408 133653833041050 142564088577120 152747237761200 160384599649260 171076906292544 178205110721400 183296685313440 200480749561575 203662983681600 213846132865680 229120856641800 237606814295200 256615359438816 267307666082100 285128177154240 305494475522400 320769199298520 356410221442800 366593370626880 400961499123150 427692265731360 458241713283600 475213628590400 513230718877632 534615332164200 610988951044800 641538398597040 712820442885600 801922998246300 855384531462720 916483426567200 1069230664328400 1283076797194080 1425640885771200 1603845996492600 1832966853134400 2138461328656800 2566153594388160 3207691992985200 4276922657313600 6415383985970400 12830767971940800
- Sum of all divisors σ(n): 53875648111165440
- Sum of proper divisors (its aliquot sum) s(n): 41044880139224640
- 12830767971940800 is an abundant number, because the sum of its proper divisors (41044880139224640) is greater than itself. Its abundance is 28214112167283840
Bases of 12830767971940800
- Binary: 1011011001010110000011111101110010100110111001110000002
- Hexadecimal: 0x2D9583F729B9C0
- Base-36: 3IC4LFLVQO0
Squares and roots of 12830767971940800
- 12830767971940800 squared (128307679719408002) is 164628606749781829856118704640000
- 12830767971940800 cubed (128307679719408003) is 2112311454750337706985854159397557562765312000000
-
The
square root of 12830767971940800 is 113272979.8846167903 -
The
cube root of 12830767971940800 is 234108.6984457065
Scales and comparisons
How big is 12830767971940800?- 12,830,767,971,940,800 seconds is equal to 407,978,733 years, 17 weeks, 3 days, 12 hours.
-
To count from 1 to 12,830,767,971,940,800 would take you about one billion, two hundred twenty-three million, nine hundred thirty-six thousand, two hundred years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 12830767971940800 cubic inches would be around 19509.1 feet tall.
Recreational maths with 12830767971940800
- 12830767971940800 backwards is 00804917976703821
- 12830767971940800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12830767971940800's digits is 72
- More coming soon!
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The information we have on file for 12830767971940800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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